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328428550352 = 24743659103483
BaseRepresentation
bin1001100011101111101…
…11011111100011010000
31011101201202021000110102
410301313313133203100
520340110202102402
6410513351351532
732504523421340
oct4616767374320
91141652230412
10328428550352
11117316399a11
125379a0825a8
1324c80776136
1411c789a8d20
158823378102
hex4c77ddf8d0

328428550352 has 80 divisors (see below), whose sum is σ = 745283489280. Its totient is φ = 137271770496.

The previous prime is 328428550343. The next prime is 328428550399. The reversal of 328428550352 is 253055824823.

It is a junction number, because it is equal to n+sod(n) for n = 328428550297 and 328428550306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3122003 + ... + 3225485.

It is an arithmetic number, because the mean of its divisors is an integer number (9316043616).

Almost surely, 2328428550352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328428550352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372641744640).

328428550352 is an abundant number, since it is smaller than the sum of its proper divisors (416854938928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328428550352 is a wasteful number, since it uses less digits than its factorization.

328428550352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104200 (or 104194 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 47.

The spelling of 328428550352 in words is "three hundred twenty-eight billion, four hundred twenty-eight million, five hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 659 688 1204 1318 2408 2636 4613 4816 5272 9226 10544 18452 28337 36904 56674 73808 103483 113348 198359 206966 226696 396718 413932 453392 724381 793436 827864 1448762 1586872 1655728 2897524 3173744 4449769 5795048 8899538 11590096 17799076 31148383 35598152 62296766 68195297 71196304 124593532 136390594 249187064 272781188 477367079 498374128 545562376 954734158 1091124752 1909468316 2932397771 3818936632 5864795542 7637873264 11729591084 20526784397 23459182168 41053568794 46918364336 82107137588 164214275176 328428550352